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＜E-Book＞
Analytic Extension Formulas and their Applications / edited by S. Saitoh, N. Hayashi, M. Yamamoto
(International Society for Analysis, Applications and Computation ; 9)

Edition	1st ed. 2001.
Publisher	(New York, NY : Springer US : Imprint: Springer)
Year	2001
Language	English
Size	VIII, 288 p : online resource
Authors	Saitoh, S editor Hayashi, N editor Yamamoto, M editor SpringerLink (Online service)
Subjects	LCSH:Functions of complex variables LCSH:Differential equations LCSH:Mathematical analysis LCSH:Potential theory (Mathematics) FREE:Functions of a Complex Variable FREE:Several Complex Variables and Analytic Spaces FREE:Differential Equations FREE:Integral Transforms and Operational Calculus FREE:Potential Theory
Notes	1. Extending holomorphic functions from subvarieties -- 2. Representations of analytic functions on typical domains in terms of local values and truncation error estimates -- 3. Uniqueness in determining damping coefficients in hyperbolic equations -- 4. Analytic continuation of Cauchy and exponential transforms -- 5. Analytic function spaces and their applications to nonlinear evolution equations -- 6. A sampling principle associated with Saitoh’s fundamental theory of linear transformations -- 7. The enclosure method and its applications -- 8. On analytic properties of a multiple L-function -- 9. Multi-dimensional inverse scattering theory -- 10. Holomorphic spaces related to orthogonal polynomials and analytic continuation of functions -- 11. Extension and division on complex manifolds -- 12. Analytic extension formulas, integral transforms and reproducing kernels -- 13. Analytic continuation beyond the ideal boundary -- 14. Justification of a formal derivation of the Euler-Maclaurin summation formula -- 15. Extension of Löwner-Heinz inequality via analytic continuation -- 16. The Calogero-Moser model, the Calogero model and analytic extension Analytic Extension is a mysteriously beautiful property of analytic functions. With this point of view in mind the related survey papers were gathered from various fields in analysis such as integral transforms, reproducing kernels, operator inequalities, Cauchy transform, partial differential equations, inverse problems, Riemann surfaces, Euler-Maclaurin summation formulas, several complex variables, scattering theory, sampling theory, and analytic number theory, to name a few. Audience: Researchers and graduate students in complex analysis, partial differential equations, analytic number theory, operator theory and inverse problems HTTP:URL=https://doi.org/10.1007/978-1-4757-3298-6

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